Estimate the total mass of the Earth's atmosphere using the known value of atmospheric pressure at sea level.

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Solution

Now, We now $h ρ_{a i r} g = P_{s e a}$
$o r, A h ρ_{a i r} g = P_{s e a} A$
$∴ M = \frac{P_{s e a} A}{g} = \frac{1.013 \times 10^{5} \times 5.1 \times 10^{14}}{9.81} k g = 5.26 \times 10^{18} k g$

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